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Simplifying 5d + -4(6d + 6) = 5 + -1(9 + 9d) Reorder the terms: 5d + -4(6 + 6d) = 5 + -1(9 + 9d) 5d + (6 * -4 + 6d * -4) = 5 + -1(9 + 9d) 5d + (-24 + -24d) = 5 + -1(9 + 9d) Reorder the terms: -24 + 5d + -24d = 5 + -1(9 + 9d) Combine like terms: 5d + -24d = -19d -24 + -19d = 5 + -1(9 + 9d) -24 + -19d = 5 + (9 * -1 + 9d * -1) -24 + -19d = 5 + (-9 + -9d) Combine like terms: 5 + -9 = -4 -24 + -19d = -4 + -9d Solving -24 + -19d = -4 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -24 + -19d + 9d = -4 + -9d + 9d Combine like terms: -19d + 9d = -10d -24 + -10d = -4 + -9d + 9d Combine like terms: -9d + 9d = 0 -24 + -10d = -4 + 0 -24 + -10d = -4 Add '24' to each side of the equation. -24 + 24 + -10d = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -10d = -4 + 24 -10d = -4 + 24 Combine like terms: -4 + 24 = 20 -10d = 20 Divide each side by '-10'. d = -2 Simplifying d = -2
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